Answer:
x = [tex]\frac{2}{3}[/tex]
Step-by-step explanation:
Given
[tex]\frac{3x}{2}[/tex] - [tex]\frac{1}{2}[/tex] = [tex]\frac{1}{3}[/tex] + [tex]\frac{x}{4}[/tex]
Multiply through by 12 ( the LCM of 2, 3 and 4 ) to clear the fractions
18x - 6 = 4 + 3x ( subtract 3x from both sides )
15x - 6 = 4 ( add 6 to both sides )
15x = 10 ( divide both sides by 15 )
x = [tex]\frac{10}{15}[/tex] = [tex]\frac{2}{3}[/tex]
